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qaws [65]
2 years ago
10

Solve the equation 1/4a=3

Mathematics
1 answer:
Tanzania [10]2 years ago
3 0

Answer:

a= 12

Step-by-step explanation:

(1/4)*a = 3 // - 3

(1/4)*a-3 = 0

1/4*a-3 = 0 // + 3

1/4*a = 3 // : 1/4

a = 3/1/4

a = 12

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calculate the height at 3 seconds given that the rocket travels 85 feet per second and starts on a launch pad 15 feet of the gro
Airida [17]

Answer:

The height of the rocket at 3 seconds is 270 feet

Step-by-step explanation:

To calculate the height of the rocket at 3 seconds,

First, we will determine the height the rocket has traveled in 3 seconds

The height traveled by the rocket is given by

Height (h) = Velocity (v) × Time (t)

From the question,

The rocket travels 85 feet per second, that is the velocity of the rocket is 85 feet per second,

Now,

v = 85 feet / second

t = 3 seconds

Hence,

Height (h) = 85 feet /second × 3 seconds

Height = 255 feet

∴ the rocket would have traveled 255 feet in 3 seconds,

But, the rocket starts on a launch pad 15 feet of the ground,

Then, the height of the rocket at 3 seconds is

255 feet + 15 feet = 270 feet.

Hence, the height of the rocket at 3 seconds is 270 feet

4 0
3 years ago
Answer the questions below about the quadratic function.
Korolek [52]

Given the function f(x)=3x^2-18x+23. The above function can be written as

f(x)=3x^2-18x+23\\ f(x)=3(x^2-6x)+23\\ f(x)=3(x^2-6x+9-9)+23\\ f(x)=3(x-3)^2-27+23\\ f(x)=3(x-3)^2-4

a)Now, the function f(x)=3(x-3)^2-4 has minimum value since the coefficient of (x-3)^2 is 3>0.

b) The minimum value of the function occurs at x=3 and its value is

f(3)=3(3-3)^2-4 =-4

c)The minimum value of the function occurs at x=3.

6 0
3 years ago
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the
Gekata [30.6K]

Equation (B) "y = 3x + 10" represents the growth of the puppy.

<h3>What are equations?</h3>
  • An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value.
  • Like 3x plus 5 equals 15, for example.
  • Different types of equations exist, such as linear, quadratic, cubic, and others.
  • The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.

So, the equation that represents the situation:

  • The weight increase is: (10, 13, 16, 19, 22, 25)
  • We can observe that every time, there is a rise of 3lbs of weight.
  • Now, let 10 be a constant as the weight is starting from 10 lbs.
  • And 'x' be the number of time Salomon tracks the weight.

Then:

  • y = 3x + 10

For example, Salomon checks the weight for the 6th time then:

  • y = 3x + 10
  • y = 3(5) + 10
  • y = 15 + 10
  • y = 25

So, the equation is correct.

Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.

Know more about equations here:

brainly.com/question/28937794

#SPJ13

The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}

Which equation represents the growth of the puppy? Select one:

A. y = x + 3

B. y = 3x + 10

C. y = 10x + 3

D. y = x + 10

8 0
9 months ago
What is the solution to the equation?
stiv31 [10]

Answer:

x = - 71

Step-by-step explanation:

x - 12 = - 83

+12          +12  (adding 12 to both sides)

x = - 71

7 0
2 years ago
Use the distributive property<br> write an equivalent expression.<br> 26 + 2.9 =
Alisiya [41]
28.9 I think is this, I hope this help
6 0
3 years ago
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